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Finding the Fourth Proportional to 23,774.25, 32,817.11 and 13,838.25

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Solution

The fourth proportional to 23,774.25, 32,817.11 and 13,838.25 is: 19,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.25 : 32,817.11 = 13,838.25 : x
  2. Step 2: Convert to fraction form
    23,774.25/32,817.11 = 13,838.25/x
  3. Step 3: Cross multiply
    23,774.25x = 32,817.11 × 13,838.25
  4. Step 4: Simplify right side
    23,774.25x = 454,131,303.27
  5. Step 5: Solve for x
    x = 454,131,303.27/23,774.25
  6. Step 6: Final answer
    x = 19,101.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.